3/5 divided by 3/4
Understand the Problem
The question is asking us to perform a division of two fractions. To solve this, we will convert the division into multiplication by taking the reciprocal of the second fraction and then multiply the first fraction by the reciprocal.
Answer
\( \frac{4}{5} \)
Answer for screen readers
The final answer is ( \frac{4}{5} )
Steps to Solve
- Convert division to multiplication
To divide by a fraction, you multiply by its reciprocal. The reciprocal of ( \frac{3}{4} ) is ( \frac{4}{3} ).
$$ \frac{3}{5} \div \frac{3}{4} = \frac{3}{5} \times \frac{4}{3} $$
- Multiply the fractions
To multiply two fractions, you multiply the numerators and then the denominators.
$$ \frac{3 \times 4}{5 \times 3} $$
- Simplify the fraction
Multiply the numerators and denominators out, then simplify the resulting fraction.
$$ \frac{12}{15} $$
To simplify, find the greatest common divisor (GCD) of 12 and 15, which is 3.
$$ \frac{12 \div 3}{15 \div 3} = \frac{4}{5} $$
The final answer is ( \frac{4}{5} )
More Information
Dividing by a fraction is equivalent to multiplying by its reciprocal.
Tips
A common mistake is forgetting to multiply by the reciprocal of the second fraction and instead incorrectly dividing the numerators and denominators.
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